86 citations · 574 across the 105 of their papers we have counts for
7 papers · 1 filter
A class of nilpotent evolution algebras
B. A. Omirov, U. A. Rozikov, M. V. Velasco
Recently, by A. Elduque and A. Labra a new technique and a type of an evolution algebra are introduced. Several nilpotent evolution algebras defined in terms of bilinear forms and…
Markov processes of cubic stochastic matrices: {\it Quadratic stochastic processes}
J. M. Casas, M. Ladra, U. A. Rozikov
We consider Markov processes of cubic stochastic (in a fixed sense) matrices which are also called quadratic stochastic process (QSPs). A QSP is a particular case of a continuous-t…
Construction of flows of finite-dimensional algebras
M. Ladra, U. A. Rozikov
Recently, we introduced the notion of flow (depending on time) of finite-dimensional algebras. A flow of algebras (FA) is a particular case of a continuous-time dynamical system wh…
Ising model on Cayley trees: a new class of Gibbs measures and their comparison with known ones
M. M. Rakhmatullaev, U. A. Rozikov
For the Ising model on Cayley trees we give a very wide class of new Gibbs measures. We show that these new measures are extreme under some conditions on the temperature. We give a…
Non-translation-invariant Gibbs Measures for Models With Uncountable Set of Spin Values on a Cayley Tree
U. A. Rozikov, G. I. Botirov
We consider models with nearest-neighbor interactions and with the set of spin values, on a Cayley tree of order . It is known that the "splitting Gibbs measures"…
Construction of a set of p-adic distributions
U. A. Rozikov, Z. T. Tugyonov
In this paper adapting to -adic case some methods of real valued Gibbs measures on Cayley trees we construct several -adic distributions on the set of -adic…